Family Functions

Match the equation to its description.

• Reflected over x, right 2 and up 1

• Reflected over x, left 2 and up 1

• Reflected over x, right 2 and down 1

• Reflected over x, left 2 and down 1

What is the name of the parent function and equation for the graph?

• Quadratic - y = x²

• Absolute Value - y = |x|

• Square Root - y = √x

• Cube Root - y = ∛x

What is the name of the parent function and equation for the graph?

• Cube Root - y = ∛x

• Cubic - y = x³

• Exponential - y = 2^x

• Rational/Inverse - y = 1/x

Tags

CCSS.HSF-IF.C.7D

What is the range of the graph?

• {x| x ≥ 2 }

• {y| y ≥ 2 }

• {x| x = ℝ}

• {y| y = ℝ}

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What is the domain of the graph?

• {x| x ≥ 1}

• {y| y ≥ 1}

• {x| x ≥ 0}

• {y| y ≥ 0}

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What is the asymptote of the function?

• y = 3

• y = -3

• x = 3

• x = -3

Tags

CCSS.HSF-IF.C.7E

What is the translation of the function?

• Right 6

• Left 6

• Up 6

• Down 6

Tags

CCSS.HSF.BF.B.3

What are the a, h, and k of the equation?

• a = 1, h = 3, k = 5

• a = 1, h= -3,
   k = -5

• a = -1, h = 3,
   k = 5

• a = -1, h = -3,
   k = -5

A piecewise function is shown. Evaluate it for the following values

f(10) = ​ (a)  

f(-3) = ​​ (b)  

f(4) = ​ ​ (c)  

• 3

• 8

• 7

• 99

• 19

• 15

• 63

Tags

CCSS.HSF.IF.A.2

Match each graph to the function type it represents

• Exponential

• 
• Absolute Value

• 
• Linear

• 
• Quadratic

• 
• Cubic

•